QQ #21

Front

What is the solution to the system of equations represented by the intersection of two lines?

Back

The solution is the point where the two lines intersect, which represents the values of the variables that satisfy both equations.

Front

If Wyatt spent $175 on 7 shirts and 7 pairs of shorts, what is the cost of one shirt if all items are the same price?

Back

One shirt costs $10.

Front

What equations can be used to determine the cost of coffee and doughnuts if Joe bought 10 cups of coffee and 5 doughnuts for $16.50 and 5 cups of coffee and 10 doughnuts for $14.25?

Back

The equations are: 10c + 5d = 16.50 and 5c + 10d = 14.25.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line, and any point on that line is a solution.

Front

How do you solve a system of equations using elimination?

Back

You manipulate the equations to eliminate one variable, allowing you to solve for the other variable.

Front

Back

The solutions are x = 4 and y = -2.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What is the graphical representation of a solution to a system of equations?

Back

The graphical representation is the point(s) where the lines of the equations intersect.

Front

What does it mean for two lines to be parallel in the context of a system of equations?

Back

If two lines are parallel, they have no solutions because they never intersect.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.